{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 15: Scikit-Learn\n",
    "### Notebook 7: Polynomials"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def f_n(x, n):\n",
    "    return x**n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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AYrWz4btMXl6XQkFpDQCuLjruuW4Ev5sVx8YTH1FhrmTMoWqK3YcQElLsuNbLf4RTx9Lr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\n/SocsaaqKp/Xf8E7VR+GTGFiDTF8a8mz5MYsCGd3x4T15HG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3d1PiJhMhXAcxXwf4mYKi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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112e59940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_pts = 100\n",
    "x = np.linspace(-1, 1, num_pts)\n",
    "for i in range(1,6):\n",
    "    y = f_n(x, i)\n",
    "    plt.plot(x, y, linewidth=2, label=str(i))\n",
    "plt.legend(loc='lower right')\n",
    "plt.title('Polynomials of x')\n",
    "file_helper.save_figure('polynomials')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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r/drV/HnHc8TUWGrehDgueqMTZ9EcSsZ9nUGTbiB30NkYraWHHKER9FTTsvcl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0OGjh4dnnv7ODp7zR0T7siOwd3zxti1BmthcL0Cb/Bka8O9wfd0aZF3pAqlZxoHPWFVqhSYkBmJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f382c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_pts = 100\n",
    "weights_list = [(.5, -.2, -.5, -.3, -.8), (-.8, -.9, .6, .8, -.5), (-.7, -.3, .1, -.8, -.5),\n",
    "               (.1, -.9, .7, -.4, -.3), (-.9, .8, .3, 0, .6)]\n",
    "bias_list = [-0.3, 0.4, -0.2, -0.5,  0.2]\n",
    "x = np.linspace(-1, 1, num_pts)\n",
    "for g in range(len(weights_list)):\n",
    "    weights = weights_list[g]\n",
    "    y = [bias_list[g]] * num_pts\n",
    "    for i in range(len(weights)):\n",
    "        y = [y[p] + (weights[i]*f_n(x[p], 1+i)) for p in range(num_pts)]\n",
    "    plt.plot(x, y, linewidth=2, label=str(weights))\n",
    "plt.title('Weighted sums of polynomials')\n",
    "file_helper.save_figure('summed-polynomials')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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I0W759k+ifPX3AFTvzJTE1cWsNis/HVvHt0d+xNygLCAptB+39LmOCN9wN0Z3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\nb5TE9WpJ4iqEEGJMMlnzyC7ZEH9s1e1h41ccTJ9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4unYQ9J6OnU8JUzqpldJJrfT2pXPq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\nXImIiIjILvx/5Aw/SOaAA/8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d052898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_pts = 100\n",
    "weights_list = [(.5, -.2, -.5, -.3, -.8), (-.8, -.9, .6, .8, -.5), (-.7, -.3, .1, -.8, -.5),\n",
    "               (.1, -.9, .7, -.4, -.3), (-.9, .8, .3, 0, .6)]\n",
    "bias_list = [-0.3, 0.4, -0.2, -0.5,  0.2]\n",
    "t = np.linspace(-1, 1, num_pts)\n",
    "for g in range(len(weights_list)):\n",
    "    weights = weights_list[g]\n",
    "    y = [bias_list[g]] * num_pts\n",
    "    x = [bias_list[(g+1)%len(bias_list)]] * num_pts\n",
    "    for i in range(len(weights)):\n",
    "        x = [x[p] + (weights[i]*f_n(t[p], 1+i)) for p in range(num_pts)]\n",
    "        y = [y[p] + (weights[(i+1)%len(weights_list)]*f_n(t[p], 1+i)) for p in range(num_pts)]\n",
    "    plt.plot(x, y, linewidth=2, label=str(weights))\n",
    "plt.title('Weighted sums of polynomials in X and Y')\n",
    "file_helper.save_figure('summed-polynomials-xy')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
